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Finding the Fourth Proportional to 644.84, 889.90 and 365.12

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Solution

The fourth proportional to 644.84, 889.90 and 365.12 is: 503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 889.90 = 365.12 : x
  2. Step 2: Convert to fraction form
    644.84/889.90 = 365.12/x
  3. Step 3: Cross multiply
    644.84x = 889.90 × 365.12
  4. Step 4: Simplify right side
    644.84x = 324,920.29
  5. Step 5: Solve for x
    x = 324,920.29/644.84
  6. Step 6: Final answer
    x = 503.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.